Question

Find the number of ways to arrange the latter's in the word 'LETTER'

Answer 1

We Know that The word LETTER contains 6 letters

So, number of ways that can we arranged is 6! ways

But there is repetition of words E and T 2 time

So dividing it by 2! ×2! we get

$\frac{6!}{ \:2!2! } = \frac{6 \times 5 \times 4 \times 3 \times2 ! }{2!2!} = 180$